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20605312008 = 233456392
BaseRepresentation
bin10011001100001011…
…000001110000001000
31222012000112022020000
4103030023001300020
5314144424441013
613244351203000
71326422155641
oct231413016010
958160468200
1020605312008
118814185986
123bb0816460
131c34c13318
14dd68526c8
15808e87973
hex4cc2c1c08

20605312008 has 60 divisors (see below), whose sum is σ = 57724189215. Its totient is φ = 6867219312.

The previous prime is 20605312003. The next prime is 20605312163. The reversal of 20605312008 is 80021350602.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20605312008 is a `hidden beast` number, since 2 + 0 + 605 + 31 + 20 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10302656004 + 10302656004 = 101502^2 + 101502^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=101502.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20605312003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3651253 + ... + 3656891.

Almost surely, 220605312008 is an apocalyptic number.

It is an amenable number.

20605312008 is an abundant number, since it is smaller than the sum of its proper divisors (37118877207).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20605312008 is an frugal number, since it uses more digits than its factorization.

20605312008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11296 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20605312008 in words is "twenty billion, six hundred five million, three hundred twelve thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5639 11278 16917 22556 33834 45112 50751 67668 101502 135336 152253 203004 304506 406008 456759 609012 913518 1218024 1827036 3654072 31798321 63596642 95394963 127193284 190789926 254386568 286184889 381579852 572369778 763159704 858554667 1144739556 1717109334 2289479112 2575664001 3434218668 5151328002 6868437336 10302656004 20605312008